Question

Find the joining equation of the following pair of lines:
Passing through $(2,3)$ and parallel to the co-ordinate axes.

Answer 1

Equations of the coordinate axes are $x=0$ and $4y=0$4

$therefore$ The equations of the lines passing through $(2,3)$ and parallel to the coordinate axes are $x=2$ and $y=3$.

$i.e.x-2=0$ and $y-3=0$

$therefore$ their combined equation is

$(x-2)(y-3)=0$

$\therefore xy-3x-2y+6=0$